Finding the Third Proportional to 38,469 and 83,499

Step by Step Solution

1. Step 1: Write the proportion equation
   38,469 : 83,499 = 83,499 : x
2. Step 2: Convert to fraction form
   38,469/83,499 = 83,499/x
3. Step 3: Cross multiply
   38,469x = 83,499 × 83,499
4. Step 4: Simplify right side
   38,469x = 6,972,083,001
5. Step 5: Solve for x
   x = 6,972,083,001/38,469
6. Step 6: Final answer
   x = 181,239.00